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Finding the Third Proportional to 1,059.93 and 1,558.14

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Solution

The third proportional to 1,059.93 and 1,558.14 is: 2,290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.93 : 1,558.14 = 1,558.14 : x
  2. Step 2: Convert to fraction form
    1,059.93/1,558.14 = 1,558.14/x
  3. Step 3: Cross multiply
    1,059.93x = 1,558.14 × 1,558.14
  4. Step 4: Simplify right side
    1,059.93x = 2,427,787.75
  5. Step 5: Solve for x
    x = 2,427,787.75/1,059.93
  6. Step 6: Final answer
    x = 2,290.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.